#include <iostream>
#include <cmath>
#include <cstring>
#include <algorithm>
#include <vector>
#include <iomanip>
#include <unordered_map>
#include <unordered_set>
#include <map>
#include <set>
#include <queue>
#include <deque>
#include <stack>
#include <cstdio>
#include <climits>
#include <bitset>
#include <numeric>

using namespace std;
using ui = unsigned int;
using ll = long long;
using ull = unsigned long long;
using pii = pair<int, int>;
static constexpr int MAX =  5050;


int main()
{
    ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
    

    return 0;
}














